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23295503440 = 24511241109843
BaseRepresentation
bin10101101100100001…
…010010110001010000
32020010111121012002201
4111230201102301100
5340202122102230
614411331252544
71453166340436
oct255441226120
966114535081
1023295503440
119974782590
12462174a154
132273374381
1411adc50d56
159152315ca
hex56c852c50

23295503440 has 80 divisors (see below), whose sum is σ = 59331577536. Its totient is φ = 8435865600.

The previous prime is 23295503431. The next prime is 23295503477. The reversal of 23295503440 is 4430559232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 23295503440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157159 + ... + 267001.

Almost surely, 223295503440 is an apocalyptic number.

23295503440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23295503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29665788768).

23295503440 is an abundant number, since it is smaller than the sum of its proper divisors (36036074096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23295503440 is a wasteful number, since it uses less digits than its factorization.

23295503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110108 (or 110102 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 23295503440 in words is "twenty-three billion, two hundred ninety-five million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 241 440 482 880 964 1205 1928 2410 2651 3856 4820 5302 9640 10604 13255 19280 21208 26510 42416 53020 106040 109843 212080 219686 439372 549215 878744 1098430 1208273 1757488 2196860 2416546 4393720 4833092 6041365 8787440 9666184 12082730 19332368 24165460 26472163 48330920 52944326 96661840 105888652 132360815 211777304 264721630 291193793 423554608 529443260 582387586 1058886520 1164775172 1455968965 2117773040 2329550344 2911937930 4659100688 5823875860 11647751720 23295503440